Nuprl Lemma : face-comp_wf
∀[G:j⊢]. (face-comp() ∈ G ⊢ Compositon(𝔽))
Proof
Definitions occuring in Statement :
face-comp: face-comp(),
composition-structure: Gamma ⊢ Compositon(A),
face-type: 𝔽,
cubical_set: CubicalSet,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
face-comp: face-comp()
Lemmas referenced :
comp-op-to-comp-fun_wf2,
face-type_wf,
face_comp_wf,
cubical_set_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType,
instantiate
Latex:
\mforall{}[G:j\mvdash{}]. (face-comp() \mmember{} G \mvdash{} Compositon(\mBbbF{}))
Date html generated:
2020_05_20-PM-05_24_34
Last ObjectModification:
2020_04_19-PM-01_51_33
Theory : cubical!type!theory
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